18 citations · 84 across the 18 of their papers we have counts for
24 papers
Topological point singularities of manifold-valued maps and approximability by smooth maps
Giacomo Canevari, Giandomenico Orlandi
Given a positive integer~, we consider -maps from a Euclidean domain of dimension into a closed Riemannian manifold $\NN$. The target manifold is required to sati…
The Yang-Mills-Higgs functional on complex line bundles: asymptotics for critical points
Giacomo Canevari, Federico Luigi Dipasquale, Giandomenico Orlandi
We consider a gauge-invariant Ginzburg-Landau functional (also known as Abelian Yang-Mills-Higgs model) on Hermitian line bundles over closed Riemannian manifolds of dimension $n \…
The Yang-Mills-Higgs functional on complex line bundles: -convergence and the London equation
Giacomo Canevari, Federico Luigi Dipasquale, Giandomenico Orlandi
We consider the Abelian Yang-Mills-Higgs functional, in the non-self dual scaling, on a complex line bundle over a closed Riemannian manifold of dimension . This functiona…
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks
Sisto Baldo, Van Phu Cuong Le, Annalisa Massaccesi +1
We investigate the relation between energy minimizing maps valued into spheres having topological singularities at given points and optimal networks connecting them (e.g. Steiner t…
Topological singular set of vector-valued maps, II: -convergence for Ginzburg-Landau type functionals
Giacomo Canevari, Giandomenico Orlandi
We prove a -convergence result for a class of Ginzburg-Landau type functionals with -well potentials, where is a closed and -connected submanif…
Anisotropic tempered diffusion equations
Juan Calvo, Antonio Marigonda, Giandomenico Orlandi
We introduce a functional framework which is specially suited to formulate several classes of anisotropic evolution equations of tempered diffusion type. Under an amenable set of h…